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Finding the Third Proportional to 214,212 and 320,670

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Solution

The third proportional to 214,212 and 320,670 is: 480,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,212 : 320,670 = 320,670 : x
  2. Step 2: Convert to fraction form
    214,212/320,670 = 320,670/x
  3. Step 3: Cross multiply
    214,212x = 320,670 × 320,670
  4. Step 4: Simplify right side
    214,212x = 102,829,248,900
  5. Step 5: Solve for x
    x = 102,829,248,900/214,212
  6. Step 6: Final answer
    x = 480,034.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.